Alternative Equation Formats

$${\displaystyle p(x)=\{\begin{array}{ll}\frac{c}{\mathrm{\sigma <!--\; \sigma \; -->}}{\left(\frac{x-<!--\; -\; -->\mathrm{\theta <!--\; \theta \; -->}}{\mathrm{\sigma <!--\; \sigma \; -->}}\right)}^{c-<!--\; -\; -->1}\exp (-<!--\; -\; -->{\left(\frac{x-<!--\; -\; -->\mathrm{\theta <!--\; \theta \; -->}}{\mathrm{\sigma <!--\; \sigma \; -->}}\right)}^c)& \text{ for }x>\mathrm{\theta <!--\; \theta \; -->}\\ 0& \text{ for }x\le <!--\; \le \; -->\mathrm{\theta <!--\; \theta \; -->}\end{array}}$$

$${\displaystyle p(x)=\{\begin{array}{ll}\frac{c}{\mathrm{\sigma <!--\; \sigma \; -->}}{\left(\frac{x-<!--\; -\; -->\mathrm{\theta <!--\; \theta \; -->}}{\mathrm{\sigma <!--\; \sigma \; -->}}\right)}^{c-<!--\; -\; -->1}\exp (-<!--\; -\; -->{\left(\frac{x-<!--\; -\; -->\mathrm{\theta <!--\; \theta \; -->}}{\mathrm{\sigma <!--\; \sigma \; -->}}\right)}^c)& \text{ for }x>\mathrm{\theta <!--\; \theta \; -->}\\ 0& \text{ for }x\le <!--\; \le \; -->\mathrm{\theta <!--\; \theta \; -->}\end{array}}$$

\[ p(x)= \left\{ \begin{array}{ll} \frac{c}{\sigma } \left( \frac{x - \theta }{\sigma } \right)^{c - 1} \exp \left( - \left( \frac{x - \theta }{\sigma } \right)^{c} \right) & \mbox{ for }x > \theta \\ 0 & \mbox{ for }x \leq \theta \end{array} \right. \]